The value of "x" is 10 :)
Which of the following equations will produce the graph shown below?
+10
10-9-8-7-6-5-4-3-2-1-1 2 3 4 5 6 7 8 9 10
O A. 20x²-20y² = 400
OB.
B. 6x² + 6y² = 144
လ -
7 PTT || | |||||||||
ܚ ܐ ܕܬ ܘ ܟ ܗ ܗ ܙܪ ܣ ܣ
-3
-5
-7
-8
-9
-10
The equation that produces the circle in the given graph is; x² + y² = 16. The correct answer is option B.
The complete graph is attached with the answer below.
How to interpret the equation of a Circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The general form of the equation of a circle is;
(x - h)² + (y - k)² = r²
where;
h, k are coordinates of the circle centre r is the radius
From the graph, we can see that the coordinates of the centre are; (0, 0).
Also, the radius is;
r = √(4² - 0²)
r = √16
Thus, our equation of the circle in the graph is;
(x - 0)² + (y - 0)² = (√16)²
⇒ x² + y² = 16
Therefore the equation that produces the circle in the given graph is; x² + y² = 16. The correct answer is option B.
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How are the solutions to the inequality
−
2
x
≥
10
−2x≥10 different from the solutions to
−
2
x
>
10
−2x>10? Explain your reasoning.
A solution set is the collection of all values that satisfy the inequality.
The inequality -2x ≥ 10 can be rewritten as x ≤ -5, while the inequality -2x > 10 can be rewritten as x < -5. The inequality -2x ≥ 10 has the solution set of all x values that are less than or equal to -5. In contrast, the inequality -2x > 10 has the solution set of all x values that are less than -5.
Therefore, the two inequalities have different solution sets.The inequality -2x ≥ 10 can be transformed into x ≤ -5 by dividing both sides by -2. If we divide both sides of -2x > 10 by -2, we get x < -5. The inequality -2x > 10 can be rewritten as x < -5. As a result, the solution sets for the two inequalities are different.
An inequality is a mathematical statement that two values are not equal and may be compared using the symbols "<," ">", "<=" or ">=". Inequalities are used to describe situations where a range of values is acceptable.
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4/x-6 =5
How do I find x?
Answer:
4 x − 5 = 6 4x-5=6 4x−5=6. Add 5 to both sides. Simplify 6 + 5 6+5 6+5 to 11. Divide both sides by 4.
Step-by-step explanation:
Answer:
34/5, or 6.8
Step-by-step explanation:
4/x-6=5 is equivalent to 4=5(x-6) by multiplying x-6 to cancel out the x-6 in "4/x-6"
simplify it to get: 4=5x-30
add 30 to separate x: 34=5x
divide by 5 to find x: 34/5=x
Each side of the tree house is the same length. Peter plans on putting a pentagonal roof on the tree house. The sides of the roof will be 6 inches longer than the sides of the tree house. A large pentagon is labeled n 6. A smaller pentagon inside of the large one is labeled n. A solid circle is in the middle of the small pentagon. Which expression represents the perimeter of the roof, in inches? 35n n 30 5n 6 5n 30.
Answer:
5n+30
Step-by-step explanation:
Answer:
D( 5n +30
Step-by-step explanation:
have a good day!:) sorry if I'm late
help me please i really need help pls
Answer:
x=20
Step-by-step explanation:
Complementary angles add up to 90 degrees.
Therefore, 30 + 3x = 90
3x=60
x=20
Please help with numbers 7 and 8.
Answer:
Below
Step-by-step explanation:
Every triangle should add up to 180 degrees,
This is a right triangle because it has the square in the corner meaning it is 90 degrees.
39 + 90 = 129
180 - 129 = 51 degrees
A: 51 degrees
C: 90 degrees
Answer:
a. 51 degrees
c. 90 degrees
I think
Ten people are playing musical chairs. There are nine chairs in the first round.Whoever doesn't get a chair is out.How many ways can the first round go (with one person being kicked out of thegame)?
okay so this is a question of probability
if we have 9 chairs but 10 people that means we will have 1 person who doesnt get a seat and that is disqalified from the game.
so we have 10 probabilties each with one person not getting a chair
any questions?
a+history+test+has+30+questions.+a+student+answers+90%+of+the+questions+correctly.+how+many+questions+did+the+student+answer+correctly?
The student answered 27 out of 30 questions correctly on the history test, achieving a 90% accuracy rate.
To calculate the number of questions the student answered correctly, we can multiply the total number of questions (30) by the percentage of questions answered correctly (90%). The calculation is as follows:
Number of questions answered correctly = Total number of questions × Percentage of questions answered correctly
= 30 × 0.90
= 27
Therefore, the student answered 27 questions correctly on the history test.
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help please, i will mark you brainliest!!
Answer:
b
Step-by-step explanation:
what is equivalent to (x+1)^2
which answer is equivalent to √16/√49
Answer:
sqroot 16/49 A
Step-by-step explanation:
The expression \(\frac{\sqrt{16}}{\sqrt{49}}\) is equivalent to expression \(\sqrt{\frac{16}{49}}\) because by property \(\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }\).
The expression \(\frac{\sqrt{16}}{\sqrt{49}}\) can be simplified by taking the square root of 16 and the square root of 49 separately.
√16 equals 4 because the square root of 16 is the number that, when multiplied by itself, gives 16.
Similarly, √49 equals 7 because the square root of 49 is the number that, when multiplied by itself, gives 49.
So, the expression \(\frac{\sqrt{16}}{\sqrt{49}}\) simplifies to 4/7.
and we know that \(\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }\)
\(\sqrt{\frac{16}{49}}\) is equivalent to \(\frac{\sqrt{16}}{\sqrt{49}}\) , which simplifies to 4/7.
Therefore, \(\sqrt{\frac{16}{49}}\) is equivalent to \(\frac{\sqrt{16}}{\sqrt{49}}\) .
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The airline industry defines an on-time flight as one that arrives within 15 minutes of its scheduled time. The recent arrival data for a small airport shows that 700 out of 1000 flight were on-time. There are three airlines operates from the airport, Airline A had 320 flights, Airline B had 440 flights and the remainder was operated by Airline C. Suppose that 75% of Airline A's flights are on-time, and 65% of Airline B's flights are on-time.
a. If four flights are selected at random, list the sample space indicating the possible arrival status lon-time "O" Late "L").
b. What is the probability that a randomly selected flight was from Airline A and was on time?
c. What is the probability that a randomly selected flight was from Airline C or was on time?
d. Given that the flight was late, what is the probability that it was from Airline B?
e. Given that the flight was from Airline A, what is the probability that it was late?
a) The sample space for four flights selected at random, with arrival status "O" for on-time and "L" for late, is given as {OOOO, OOOL, OOLO, OOLL, OLOO, OLOL, OLLO, OLLL, LOOO, LOOL, LLOO, LLOL, LLLO, LLLL}.
b) The probability that a randomly selected flight is from Airline A and on-time, denoted as P(A), is calculated by multiplying the probability of being on-time for Airline A (75/100) with the proportion of flights operated by Airline A out of the total (320/1000), resulting in P(A) = 24/100.
c) The probability that a randomly selected flight is either from Airline C or on-time, denoted as P(C), is obtained by dividing the sum of flights on-time (700) and flights operated by Airline C (240) by the total number of flights (1000), giving P(C) = 94/100.
d) The probability that a flight is from Airline B given that it is late, denoted as P(B | L), is computed by multiplying the proportion of late flights (300/1000) with the probability of being from Airline B (35/100), resulting in P(B | L) = 77/300.
e) The probability that a flight is late given that it is from Airline A, denoted as P(L | A), is calculated by multiplying the proportion of flights on-time for Airline A (25/100) with the proportion of flights operated by Airline A (320/1000), resulting in P(L and A) = 8/100. Therefore, P(L | A) = 1 - P(A | L) = 11/15.
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Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. What was the total cost before sales tax? Round your answer to the nearest cen
The total cost before the sales tax was 19.828 pounds.
For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.
We have to determine the total cost before sales tax.
As per the question, we have prices as:
cost of turkey = 3.95 per pound
cost of egg cheese = 1.3 per pound
cost of egg salad = 0.89 per pound
The total cost of turkey = 3.8 × 3.95 = 15.01 pounds
The total cost of cheese = 2.2 × 1.3 = 2.86 pounds
The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds
The total cost before sales tax = 15.01 + 1.958 +2.86
Apply the addition operation, and we get
The total cost before sales tax = 19.828 pounds
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The question seems to be incomplete the correct question would be:
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?
Tickets to see a movie cost $5 for children And 8$ for adults. The equation 5x+8y=80 represents the number of children (x) and adults (y) who can see the movie with $80? If no adults see the movie, how many children can see the movie with $80
Answer:
16
Step-by-step explanation:
If there are no adults watching the movie, we can take out y from the equation altogether, so that only leaves 5x=80, simply divide 80 by 5, in which case you get 16. Plug in 16 as x to get 5(16)=80. Do the math to check, and you get 16 children can watch the movie for 80$.
find x such that the matrix is equal to its own inverse. a = 5 x −6 −5
For the value of x = 4/5 (= 0.8) the matrix a = \(\left[\begin{array}{cc}5&x\\-6&-5\end{array}\right]\) is equal to its own inverse.
The matrix a is given as,
a = \(\left[\begin{array}{cc}5&x\\-6&-5\end{array}\right]\)
The value of x is such that a is equal to its inverse, that is,
a = \(a^{-1}\) ___(1)
Inverse of an matrix, say a, can be calculated using the formula ,
\(a^{-1}\\\) = (adjoint of matrix a) / (determinant of matrix a)
Therefore, Adjoint of matrix a = \(\left[\begin{array}{cc}-5&-x\\6&5\end{array}\right]\)
where,
As element of the adjoint matrix in row 1 and column 1 is cofactor of the matrix a in row 1 and column 1,
As element of the adjoint matrix in row 1 and column 2 is cofactor of the matrix a in row 1 and column 2,
As element of the adjoint matrix in row 2 and column 1 is cofactor of the matrix a in row 2 and column 1,
And as element of the adjoint matrix in row 2 and column 2 is cofactor of the matrix a in row 2 and column 2.
Therefore, determinant of matrix a = (5)(-5) - (-6)(x) = -25 +30x
Thus from the formula of inverse of a matrix we get,
\(a^{-1}\\\) = {1/( -25 +30x)} \(\left[\begin{array}{cc}-5&-x\\6&5\end{array}\right]\)
=\(\left[\begin{array}{cc}-5/ (-25 +30x)&-x/ (-25 +30x)\\6/ (-25 +30x)&5/ (-25 +30x)\end{array}\right]\) ___(2)
Therefore, equating equation (1) and (2) we get,
\(\left[\begin{array}{cc}-5/ (-25 +30x)&-x/ (-25 +30x)\\6/ (-25 +30x)&5/ (-25 +30x)\end{array}\right]\) = \(\left[\begin{array}{cc}5&x\\-6&-5\end{array}\right]\)
⇒ -5/ (-25 +30x) = 5,
-x/ (-25 +30x) = x,
6/ (-25 +30x) = -6,
and 5/ (-25 +30x) = -5
From any one of the above four equation we can equate for the value of x we get,
5/ (-25 +30x) = -5
⇒1/ (-25 +30x) = -1
⇒ 25 - 30x = 1
⇒ 30x = 24
⇒ x =24/30 = 4/5 (=0.8)
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Three friends map their houses on a coordinate grid. Alex's house is located at point (7, 18). Jimmy's house is at point (-9, 7). Jimmy's house is located halfway between Alex's house and Kara's house. Which ordered pair represents Kara's house?
A (1, 12.5)
B. (24,-4)
C. (-25,-4)
D. (2,25)
Divide and simplify: 5/7 and 1/2
What is the possibility that a red or green marble will be selected from a bag containing 9 red marbles, 6 blue marbles , 7 green marbles and 11 yellow marbles
Answer:
16/33
Step-by-step explanation:
We have a bag of :
9 red marbles
6 blue marbles
7 green marbles
11 yellow marbles
Total number of marbles = 33 marbles.
The possibility that a red or green marble will be selected from a bag
P( Red or Green) = P(Red) + P(Green)
In the question we are not told if it is with replacement or without. We do both
With replacement
P( R or G) = P(Red) + P(Green)
P(Red)= 9/33
P(Green) = 7/33
= 9/33 + 7/33
= 16/33
Therefore, the possibility that a red or green marble will be selected from a bag is 16/33
Which of the following is TRUE regarding systematic risk?
Select one: a. It is also known as unique variance. b. It is affected by company specific factors. c. It cannot be diversified away. d. It is also known as residual variance.
The true statement regarding systematic risk is that c. It cannot be diversified away.
Systematic risk, also known as market risk or non-diversifiable risk, refers to the risk inherent in the overall market or economy. It is not affected by company-specific factors and cannot be eliminated through diversification. Systematic risk impacts the entire market or a specific segment of it, affecting all securities within that market or segment.
On the other hand, unique variance or residual variance (option d) refers to the risk that is specific to an individual company or security. It can be reduced through diversification by spreading investments across different assets to minimize the impact of company-specific events.
Therefore, option c, which states that systematic risk cannot be diversified away, is the correct answer.
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Diego thinks that x = 3 is a solution to the equation x² = 16. Do you agree?Explain or show your reasoning. *Yes, he is correct.No, he is incorrect. The answer should be 6.No, he is incorrect. The answer should be 9.None of the above
ANSWER
D. None of the above
EXPLANATION
We want to determine if x = 3 is the solution to the equation given:
\(x^2=16\)To solve this equation, we have to find the square root of both sides of the equation (the solution will consist of a negative and positive number):
\(\begin{gathered} x=\sqrt[]{16} \\ \Rightarrow x=+4;x=-4 \end{gathered}\)Therefore, Diego is incorrect but none of the reasons stated is correct.
Hence, the answer is None of the above.
Kate's Pattern
Andy's Pattern
Kate and Andy made the following
patterns.
X
у
Х
у
1
2
1
4
Which statement is true?
2
4
2
8
3
6
3
12
4
8
4
16
) Kate's y-values increase at 3 times the rate of Andy's y-values.
® Kate's y-values increase at 2 times the rate of Andy's y-values.
© Andy's y-values increase at 2 times the rate of date's y-values.
D Andy's y-values increase at 3 times the rate of Kate's y-values.
Answer:
Answer is C
Andy's Y value increases 2 times more
Answer:
B)
Step-by-step explanation:
If you look at Kate's y column, you will see that her pattern goes by 2,4,6 and 8.
It increases by 2.
At the same rate, Andy's increases by 4.
Therefore, B would be the correct answer.
What is 2-3-7-9-6-7-8-6-5-7-7
Answer:-61
Step-by-step explanation:
Answer:
2-3-7-9-6-7-8-6-5-7-7=-63
Step-by-step explanation:
Hope it helps!!!
;}
125 x 1729?
and may i have a friend?
Answer:
216125
Step-by-step explanation:
✨ m u l t i p l i c a t i o n ✨
What is the value of the x and the y? -3x-7y=-63
Step-by-step explanation:
-3x - 7y = -63
-(3x + 7y) = -63
3x + 7y = -63/-1
3x + 7y = 63
Value of x
3x + 7y = 63
3x = 63 - 7y
x = (63 - 7y)/3
Value of y
3x + 7y = 63
7y = 63 - 3x
y = (63 - 3x)/7
Pls help me
What is the volume of this figure?
Enter your answer in the box.
Answer:
Step-by-step explanation:
Volume of the figure = Base area * height
Base area:
Base area = area of trpezium + area of triangle
Trapezium:
a, b area the length of parallel sides and h is the height of trapezium.
a = 8 m ; b = 5 m & h = 3 m
\(\boxed{ \text{ Area of trapezium = $\dfrac{(a +b)*h}{2} $}}\)
\(=\dfrac{(8+5)*3}{2}\\\\\\=\dfrac{13*3}{2}\\\\\\= \dfrac{39}{2}\\\\\\= 19.5 \ m^{2}\)
Triangle:
height = 4 m & base = 8 m
\(\boxed{\text{Area of triangle =$\dfrac{1}{2}*base*height$}}\)
\(=\dfrac{1}{2}*8*4\\\\\\= 4*4\\\\= 16 \ m^{2}\)
Base area = 19.5 + 16
= 35.5 m²
Volume of the figure = Base area * height
= 35.5 * 14
= 497 m³
Keisha has been given a List of 5 bands and asked to place a vote. Her vote must have the names of her favorite and second favorite bands from the list. How many different bands are possible ? Please help me
Answer:
2
Step-by-step explanation:
because she hast to pick her favorite and second favorite
calvin is 32 years younger than dallas. 9 years ago, dallas's age was 3 times calvin's age. how old is calvin now?
Calvin's age is now 23 years old.
9 years ago, Dallas was 3 times Calvin's age, which was 11.
Therefore, 9 years ago, Dallas was 33. 32 years ago, when Calvin was 0, Dallas was 32.
Since then, Dallas has aged 1 year for every year Calvin has aged, so Calvin is now 23 and Dallas is 55.
This problem can also be solved using algebra. Let x be Calvin's age now, and y be Dallas' age 9 years ago. We can then set up the following equation:
x + 32 = 3(y - 9)
We can simplify this to x + 32 = 3y - 27 and solve for x:
x = 3y - 27 - 32
Plugging in the given information that y = 33, we get:
x = 3(33) - 27 - 32 = 23
Therefore, Calvin is currently 23 years old.
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Perri will be able to purchase a condominium by making a 7% down payment on its $364,000 purchase price. She estimates her closing costs to be 4.5% of the
purchase price. What total amount will Perri need when she gets the keys for the house at closing?
O $4,052,173.91
O $466,000.12
O $41,860
O $465,999.89
The total amount will Perri need when she gets the keys for the house at closing is $41,860.
Estimation and Percentages
Perri is making a 7% down payment on the $364,000 purchase price of the condominium, so her down payment will be
0.07 x $364,000 = $25,480.
Perri estimates her closing costs to be 4.5% of the purchase price, which is 0.045 x $364,000 = $16,380.
Therefore, the total amount Perri will need when she gets the keys for the house at closing is the sum of the down payment and the closing costs, which is $25,480 + $16,380 = $41,860.
So the answer is (C) $41,860.
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Question 13 In the equation ONp/ot = -rpP+ OPN, what does-rpP+ OPN describe?
in the equation ONp/ot = -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction, considering both the decrease of reactant concentration and the increase of product concentration.
In the equation ONp/ot = -rpP + OPN, the term -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction with respect to time. Here's a step-by-step explanation:
ONp/ot represents the rate of change of the concentration of a substance N with respect to time (t). This is often used to describe the rate at which a chemical reaction proceeds.
-rpP is the rate of decrease of the concentration of a reactant (P) due to the reaction. The negative sign indicates that the concentration of the reactant is decreasing over time.
OPN is the rate of increase of the concentration of a product (N) due to the reaction. The positive sign indicates that the concentration of the product is increasing over time.
The equation ONp/ot = -rpP + OPN connects these two terms, stating that the rate of change of the concentration of substance N with respect to time is equal to the rate of decrease of reactant P plus the rate of increase of product N.
5. The term -rpP + OPN describes the balance between the decrease of reactant concentration and the increase of product concentration in the chemical reaction. This balance is important in understanding the reaction kinetics and determining the rate at which a reaction occurs.
In summary, -rpP + OPN in the equation ONp/ot = -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction, considering both the decrease of reactant concentration and the increase of product concentration.
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Determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily. Round your answer to the nearest hundredth of a percent, if necessary. Answer
The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.
To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.
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